Find an algebraic expression that represents the area of the shaded region.

Answer:
[tex]2x^2+7x-16[/tex]
Step-by-step explanation:
[tex]x(3x-1)-(x-4)^2[/tex]
Use distributive: [tex]x(3x-1)=3x^2-x[/tex]
Use square of a binomial formula : [tex](a-b)^2=a^2-2ab+b^2[/tex]
[tex](x-4)^2=x^2-8x+16[/tex]
[tex]3x^2-x-(x^2-8x+16)=3x^2-x-x^2+8x-16=2x^2+7x-16[/tex]
The answer is [tex]2x^2+7x-16[/tex]
Hope this helps :)
Have a nice day!